4221646431257 has 2 divisors, whose sum is σ = 4221646431258. Its totient is φ = 4221646431256.

The previous prime is 4221646431239. The next prime is 4221646431281. The reversal of 4221646431257 is 7521346461224.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3941737715161 + 279908716096 = 1985381^2 + 529064^2 .

It is a cyclic number.

It is not a de Polignac number, because 4221646431257 - 2³⁴ = 4204466562073 is a prime.

It is a super-3 number, since 3×4221646431257³ (a number of 39 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (4221646431157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2110823215628 + 2110823215629.

It is an arithmetic number, because the mean of its divisors is an integer number (2110823215629).

Almost surely, 2^{4221646431257} is an apocalyptic number.

It is an amenable number.

4221646431257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4221646431257 is an equidigital number, since it uses as much as digits as its factorization.

4221646431257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1935360, while the sum is 47.

The spelling of 4221646431257 in words is "four trillion, two hundred twenty-one billion, six hundred forty-six million, four hundred thirty-one thousand, two hundred fifty-seven".